Title: Differential Operations of Infinite Order with Real Arguments and Their Applications
Publisher: World Scientific Publishing Company
Publication Date: 1994
Language: English
ISBN 10: 9810216114
ISBN 13: 9789810216115
Binding: Hardcover
Condition: Very Good
Dust Jacket Condition: No Jacket
Weight: 1.05 pounds

About this title

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This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.Part I develops the theory of pseudodifferential operators with real analytic symbols, the local representatives of which are linear differential operators of infinite order acting in the spaces of basic and generalized functions based on the duality of the spaces of real analytic functions and functionals. Applications to a variety of problems of PDEs and numerical analysis are given. Part II is devoted to the theory of Sobolev-Orlicz spaces of infinite order and the solvability of nonlinear partial differential equations with arbitrary nonlinearities.

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